On the trace formula for a differential operator of second order with unbounded operator coefficient
1Yildiz Technical University, Dep. of Mathematics, Esenler-ISTANBUL
2Faculty of Engineering and Natural Sciences, Bahçeşehir University, Beşiktaş-ISTANBUL
2Faculty of Engineering and Natural Sciences, Bahçeşehir University, Beşiktaş-ISTANBUL
Sigma J Eng Nat Sci 2018; 9(): 31-38
Abstract
We consider the papers related to the spectrum and the trace formula of a differential operator of second order with unbounded operator coefficient. Reviewing them, we examine what the spectrum is and how to find the trace formula of the operator.
Keywords: Hilbert space, self-adjoint operator, kernel operator, spectrum, essential spectrum, resolvent.
